The architecture of networks: Characterisation and visualisation of complex systems as fluctuating networks.

复杂系统由许多相互作用的组成部分组成，其特征是在时间和空间上有一系列不同的相互作用。它们是动态系统，其特征让人联想到网络，具有不同强度的波动链接。这类系统的自然范例是通用网络或图形。将开发一套来自统计物理、图论、拓扑学、几何学和计算机图形学的新度量来表征系统/图的增长和稳定性。目标有两个：一是将真实的复杂系统(主要是金融系统)简化为可通过计算机管理的结构(包括直接可视化)；二是构建此类系统演化的现实模型。

Complex systems comprise many mutually interacting components, characterised by a range of different interactions over time and space. They are dynamical systems, whose features are reminiscent of a web, with fluctuating links of varying strengths. The natural paradigm for such systems is a generic network, or a graph. A suite of novel measures from statistical physics, graph theory, topology, geometry, and computer graphics will be developed to characterise system/graph growth and stability. The aim is two-fold: first to reduce real complex systems (mainly financial systems) to computationally manageable structures (including direct visualisation) and second to construct realistic models of the evolution of such systems.